On Wednesday, the airline said it will resume service at close to usual levels. The affected computer system controls passenger tracking, boarding passes and flight schedules. After system outages first appeared on Tuesday morning, the Federal Aviation Administration stepped in, ordering a ground stop of all American Airlines planes that hadn’t yet taken off, the Associated Press noted.

The ground stop resulted in a wave of flight cancellations at both American Airlines and its regional carrier, American Eagle. By Tuesday night, an additional 1,068 flights had been delayed.

Passengers whose trips were delayed by Tuesday’s disruption will have their fares refunded, while those who had to book flights on other carriers will have the difference in ticket prices paid by American.